Solve 3.1*3.142*2.5/1.9*2.1+2.0

$$\frac { 3.1 \times 3.142 \times 2.5 } { 1.9 \times 2.1 + 2.0 }$$

Evaluate

$$\frac{48701}{11980}\approx 4.065191987$$

Solution Steps

Multiply 3.1 and 3.142 to get 9.7402.

$$\frac{9.7402\times 2.5}{1.9\times 2.1+2}$$

Multiply 9.7402 and 2.5 to get 24.3505.

$$\frac{24.3505}{1.9\times 2.1+2}$$

Multiply 1.9 and 2.1 to get 3.99.

$$\frac{24.3505}{3.99+2}$$

Add 3.99 and 2 to get 5.99.

$$\frac{24.3505}{5.99}$$

Expand \frac{24.3505}{5.99} by multiplying both numerator and the denominator by 10000.

$$\frac{243505}{59900}$$

Reduce the fraction \frac{243505}{59900} to lowest terms by extracting and canceling out 5.

$$\frac{48701}{11980}$$

Factor

$$\frac{31 \cdot 1571}{5 \cdot 599 \cdot 2 ^ {2}} = 4\frac{781}{11980} = 4.0651919866444075$$